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Finding the Fourth Proportional to 196.94, 293.32 and 193.30

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Solution

The fourth proportional to 196.94, 293.32 and 193.30 is: 287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.94 : 293.32 = 193.30 : x
  2. Step 2: Convert to fraction form
    196.94/293.32 = 193.30/x
  3. Step 3: Cross multiply
    196.94x = 293.32 × 193.30
  4. Step 4: Simplify right side
    196.94x = 56,698.26
  5. Step 5: Solve for x
    x = 56,698.26/196.94
  6. Step 6: Final answer
    x = 287.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.